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As a youth, Rosdolsky was a member of the Ukrainian socialist Drahomanov Circles. He was drafted in the imperial army in 1915, and edited with Roman Turiansky the journal Klyči in 1917. He was a founder of the International Revolutionary Social Democracy (IRSD) and studied law in Prague. During World War I he founded the antimilitaristic "Internationale Revolutionäre Sozialistische Jugend Galiziens" (International Revolutionary Socialist Youth of Galizia). He became a member of the Central Committee of the Communist Party of Eastern Galicia, representing its émigré organization 1921-1924 and a leading publicist of the Vasylkivtsi faction of the Ukrainian Communists. In 1925, he refused to condemn Trotsky and his Left Opposition, and was later, at the end of the 1920s, expelled from the Communist Party.

In 1926-1931, he was correspondent in Vienna of the Marx-Engels Institute in Moscow, searching for archival materials. At that time, in 1927, he met his wife Emily. When the labour movement in Austria suffered repression, he emigrated in 1934 back to L'viv, where he worked at the university as lecturer and he published the Trotskyist periodical Žittja i slovo 1934-1938. He was arrested by the Gestapo in 1942, but survived internment for three years in the concentration camps of Auschwitz, Ravensbrück and Oranienburg. He emigrated to the USA in 1947, and worked there as independent scholar - failing to obtain a university post. He published also under pseudonyms such as "Roman Prokopovycz", "P.Suk.", "Tenet" and "W.S.".

Rosdolsky is mainly known in the Anglo-Saxon world for his careful scholarly exegesis The Making of Marx's Capital, a collection of essays some which had previously been published, which overturned many previous interpretations of Das Kapital. Yet he published much more, especially on historical topics. During his life, he corresponded with numerous well known Marxist writers including Isaac Deutscher, Ernest Mandel, Paul Mattick, and Karl Korsch. Mandel called Rosdolsky's work on the National Question the only Marxist criticism of Marx himself.

2009 "The Jewish Orphanage in Cracow". In: The Online Publications Series of the Center for Urban History of East Central Europe [www.lvivcenter.org/download.php?downloadid=107], No. 4, Lviv, October 2009 (translated by Diana Rosdolsky)